In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?

Topic:CBSE board Class 10
Correct answer will be mark as brainliest.​

In The Figure Given Below CP=x+3, PA=3x+19, CQ=x And QB=3x+4 Then, What Value Of X Will Make PQ || AB?

Answers

Answer 1

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

also read similar questions: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..

https://brainly.com/question/18679712?referrer

https://brainly.com/question/18679661?referrer


Related Questions

Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be

Answers

Answer:

Step-by-step explanation:

First we need to find 20% of their bill-$40.

So we write a proportion with fractions.

20/100 = x/40

Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:

800 = 100x

Divide both sides by 100 to solve this.

Then we will get:

$8 = x  or  x = $8

Now that we know 20% of the bill this will also represent the tip. Our tip is $8.

1.(−9)÷ ?=5
2.?÷(−2)=−6.41

Answers

For question one the answer is -1.8
And for question two it's -12.82

4(2v+6)=[?]v+[ ]

what is the questionmark

Answers

Answer: 8v+24

Step-by-step explanation:

[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]

Order these numbers from least to greatest

Answers

Answer:

5.125 < 5.14 < 5.15 < 5 2/9

Step-by-step explanation:

i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3

List all congruent angles and write a proportion that relates the corresponding side

Answers

Sorter and the other people who have

Proportion of corresponding side is FH/JH  = HG/HK  = FG/JK.

What are congruent triangles?

Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

https://brainly.com/question/22062407

#SPJ2

Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now

Answers

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

=4x+5y=-10
20x - 25y = 50

Answers

The answer is x=0;y= -2

Plz help! I have two parts to this :(

Answers

If I am correct, it is 36 because its b x h x l x 1/2

How many solutions does the equation 6(x -2) = 8 + 6x have?

Answers

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

6(x - 2) = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

pls help me pls help me pls help me

Answers

Answer:

C. 35

Step-by-step explanation:

First, let's put the first notebook.

1 2 3

1 2 4

1 2 5

1 2 6

1 2 7

We lose 1 step at each time.

1 3 2 is not ok because 1 2 3 is same as 1 3 2

5+4+3+2+1

Next, the other one.

4+3+2+1

3+2+1

2+1

1

5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35

35 different ways  

The answer for that is C

WILL MARK BRAINLIEST!!! PLS HELP. ANY LINKS OR WRONG ANSWERS WILL BE REPORTED !!

Answers

Point S reflected over the y axis would be (9,0)

Answer:

When reflected across the y-axis the point would be at (9,0)

Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared? 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 16 2 log Subscript 5 Baseline x 2 log Subscript 5 Baseline 4 2 log Subscript 5 Baseline x log Subscript 5 Baseline 4.

Answers

The required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

Given expression,

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We have to find the Equivalent fraction of  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex].

We know that from the properties of logarithm, the following identities

[tex]log\ m^{n} =n\ log\ m[/tex] .....(1)

[tex]log\ \frac{m}{n} = log\ m- log\ n\\[/tex].......(2)

Now, [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5} \ \frac{x}{4}[/tex] ( using 1 identity)

Again using 2 identity, we get

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2[ log_{5}\ x-log_{5}\ 4 ][/tex]. (using 2 identity)

[tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex]

Hence the required equivalent expression for  [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}[/tex] is [tex]{log}_{5} \ (\frac{x}{4} ) ^{2}= 2 \ log_{5}\ x-2\ log_{5}\ 4[/tex].

For more details on logarithm follow the link:

https://brainly.com/question/163125

Answer:

C on edge

Step-by-step explanation:

pls help on my maths

Answers

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

Please Brainlist

Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing

Answers

Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m   Divide by 4

13 cm : 52 m

Write an equation for the perimeter of the rectangle

Answers

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

2(5x)+ 2x(4+5)

You can say that!! What grade level is this

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

6. You have inherited a piece of land in the shape of a quadrilateral. It has the given measurements as shown. Find the length needed for a fence to be constructed from point A to point D. Find the angle mearurements of ÐA and ÐL. Also, find the area of the quadrilateral.

Answers

Answer:

Add up all the sides of the quadrilateral and the answer is the perimeter

Step-by-step explanation:

Complete the shape below so that AB is a line of symmetry

Answers

Here you go I hope it helps, image attached

4²+(3x6)-7 help please

Answers

Answer:

cevap 27

Step-by-step explanation:

4²+(3×6)-7

16+18-7

34-7

27

bu şekilde işlem sırası yanlış yazdıysam özürdilerim ama her türlü cevap 27 çıkıyor

how to do theoretical probability on calculator

Answers

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.

Answers

AnswerBABY BAYBY OOOOH

Step-by-step explanation:

original price: $2.00
discount: 31%
tax: 3%​

Answers

Answer:

is this a questions or no?

Step-by-step explanation:

Solve for x:
1 - 8(x - 8) = 17

Answers

1 - 8(x - 8) = 17 PEMDAS

1 -8x + 64 = 17

-8x + 65 = 17

-8x = -49

X = 49/8

Hope this helps!
Brainliest and a like is much appreciated!

Porfa ayúdenme a resolver lo de la ficha, plis.

Answers

Answer:

Step-by-step explanation:

Portf?

Huh yo I know the answers I smart

(1 x 3)+ (7 x 3) as a product of 2 factors

Answers

Answer:

3 + 21 = 24 and they are the product to the factors of 63

Step-by-step explanation:

8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___

Answers

[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]

First of all, we should add 34 and 32:

34+32=66

Now, let's divide both sides by 9:

66÷9=7.3333...

[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]

[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]

3a-1 over 8=a+9 over 4

Answers

Answer:

1800 stanley steamer

Step-by-step explanation:

Evaluate the expression when a=-3 and x=5.
a-2x

Answers

Answer:  -13

Explanation:

We replace 'a' with -3, and we replace x with 5. Then evaluate.

a - 2x

-3 - 2(5)

-3 - 10

-13

Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height

Answers

Let r represent Rick’s height.Therefore, the quotient of Rick’s height and 4[tex] = \frac{r}{4} [/tex]Fred is 5 inches shorter than the quotient of Rick’s height and 4.Therefore, an expression that represents Fred’s height is [tex] \frac{r}{4} - 5 [/tex]

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

r represents height of RickQuotient of r and 4 means r is divided by 4

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

can you please help me​

Answers

Answer:

D

Step-by-step explanation:

It has to be angle angle angle because angle angle angle cannot be used to prove that any triangles are congruent

Answer:

D

Step-by-step explanation:

angle-angle-angle, isn't a clear way to proof that it's congruent, you can say, it's NEVER a way.

Other Questions
George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box. need helpppppp plz . help me solve thissss which conclusion about the writers of the article of confederation is supported by the list to the left? A one house legislatureA difficult system of passing lawsNo chief executive officerNo national courts No power to regulate trade No authority to establish armed forces No list of protected rightsA)They wanted a single leader for the whole nationB)They wanted each state to maintain independent powersC)They demanded written guarantees of individual freedomsD)They recognized the need for three branches of government What is a significant impact of the case that determined the U.S. Supreme Court could find acts of Congress unconstitutional? A Christmas CarolWhy is the Ghost of Christmas Past young, small, cloaked in white and shining bright? What does he mean when he says that Scrooge made his cap and has forced him to wear it? A gold fish weighing 13g has a speed of 8.8m/s. What is its Kinetic energy Someone please help me! 11 Three forces are acting upon the box shown in the diagram below.40 N60 N[29 NAssuming there is no friction between the floor and the ground, how will these forces affect the position of the box?A. The forces will cause the box to move to the left.B. The forces will cause the box to move to the right.C. The forces will cause the box to collapse to the ground.D. The forces will be unable to move the box in any direction. What is the key function of a sales team? Please helppp asapppp due soon ignore the answers i put in their wrong Mass Media has the power to influence society and is also impacted by whats happening in society itself.TrueFalse what is the name of the popular wizarding card game that the students like to play? how many structures are possible for a square planar molecule with a formula of ax3y? Pierre, Paul et Charles a) suis b) es c) sommes d) sont en Angleterre. tre-Marie,Clo et moi a) somme b) sommes c) tes d) sont au restaurant. avoir- Elles a) ont b) ai c) on t d) a un muse. avoir-Vous a) avons b) avez c) a d) ai des affiches avoir-Pierre a) ont b) on c) avons d) a une voiture. avoir-Elles a) avons b) a c) ont d) avez une maison avoir-Tu a) ont b) avez c) avons c) as beaucoup de livres. a locker room contains 21 books. you select 7 books at random. how many different sets of books can you select What is the solution to the equation 8b+32=104? it takes 5 days to repair 1250 meters of road.At this rate, how many days will it take to repair 8 kilometers of road? What is the volume of this rectangular prism?1cm24 cmola3cmcm3. Because this is hard Explain in your own words the verse below and in 8-10 sentences. By faith Noah, being divinely warned of things not yet seen, moved with godly fear, prepared an ark for the saving of his household, by which he condemned the world and became heir of the righteousness which is according to faith. Hebrews 11:7